How does the hardware hookup work?

I'm thinking of switching from a regular AT&T phone hookup with DSL to U-verse, again just phone & internet. I have two Windows computers which I need to connect to the Internet, one of which has a fax/modem which I use for faxing. What does the hardware hookup look like? Will the computer connections be hard wired to the network cards or wireless? Will the fax modem continue to work?

Thanks